Phenomenology of NMSSM in TeV scale mirage mediation Seminar@ Institute of Basic Science, Center for Theoretical Physics of Universe 25 March 2015 Ken-ichi Okumura Department of Physics, Kyushu University Phenomenology of NMSSM in TeV scale mirage mediation T.Kobayashi, H. Makino, K.O., T.Shimomura in preparation TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AA

Plan of my talk Introduction Scale symmetry in NMSSM Fine-tuning in electroweak symmetry breaking Collider phenomenology in Higgs sector Dark matter Conclusion

Introduction

Introduction Supersymmetry is attractive BSM candidate. Big hierarchy + Unification Light SM like Higgs (125 GeV): weak self-coupling Little hierarchy problem Missing superpartner (mq~ >1.5 TeV LHC7+8) Higgs is too heavy  multi-TeV stop ? Fine tuning <1% Solution: “TeV scale mirage mediation in NMSSM !”

Mirage mediation (MM) Supergravity model (modulus + uplifting:KKLT). K.Choi A.Falkowski H.P.Niles M.Olechowski and S.Pokorski (2005) Supergravity model (modulus + uplifting:KKLT). (Moduli mediation) + (Anomaly mediation) Partial cancellation of RG running (1-loop only) Mirage unification of soft masses@  Natural Little Hierarchy “ TeV scale Mirage mediation”

Mirage mediation (cont’d) Modulus med. Anomaly med.  TeV

NMSSM New F-term potential  Tree-level Higgs mass No gain in FT Landau pole F-term ( ) max  D-term ( ) min Mixing with S No gain in FT Dimensionless  sol. of problem in MM

NMSSM in TeV scale mirage mediation

Improved fine-tuning in TeV scale MM K.Choi K.S.Jeong T.Kobayashi K.i.Okumura (2006) Pot. minimum chooses: μ term can be large

Doublet-Singlet mixing In NMSSM, mixing with the singlet may destroy the μ cancellation In addition, if the doublet-singlet mixing in the mass matrix is large, w/ mixing w/o mixing mass We show an approximate scale symmetry suppresses the mixing

scale symmetry in NMSSM

Scale symmetry

Scale symmetry and Higgs mixing

Scale symmetry and Higgs mixing (cont’d)

CP-odd Higgs Mixing Matrix

Numerical Analysis Choose Heavy param’s (sol. of RGE) as inputs. Solve three minimization conditions. Calculate light param’s assuming correct EWSB Check favored regions within 1-loop ambiguity Calculation is performed by NMSSMTools U.Ellwanger and C.Hugonie (2008)

Higgs mass

Higgs mass (cont’d)

Fine-tuning in Electroweak symmetry breaking

Fine-Tuning measures

Calculation of FT measures

Calculation of FT measures (cont’d)

Numerical Results for FT meaures

Numerical Results for FTs (cont’d)

Numerical Results for FTs (cont’d)

Numerical Results for FTs (cont’d)

Collider Phenomenology in Higgs sector

Higgs effective coupling constants

Effective couplings in NMSSM

Effective couplings in NMSSM (cont’d)

Effective couplings in NMSSM (cont’d)

Effective couplings in NMSSM (cont’d)

Effective couplings in NMSSM (cont’d)

Numerical Results for CP even Higgs

Numerical Results for CP even Higgs (cont’d)

Numerical Results for CP even Higgs (cont’d)

Effective couplings of CP-odd Higgs

Effective couplings in NMSSM

Effective couplings in NMSSM

Numerical Results for CP odd Higgs

Dark Matter

Dark matter in mirage mediation

Dark matter in MM (cont’d)

Direct detection of LSP

Numerical Results for Direct Detection

Numerical Results for DD (cont’d)

Numerical Results for DD (cont’d)

Numerical Results for DM (cont’d)

Indirect detection of LSP

Numerical Results for Indirect Detection

Summary NMSSM in TeV scale mirage mediation is attractive scenario solving the little hierarchy problem in SUSY. Fine-tuning is of O(10)% for M0=1.5 TeV . Approximate scale symmetry suppresses the doublet-singlet mixing in the CP-even H mass matrix. ~20% deviation is predicted in the SM-like Higgs coupling constants. (50% for bb with tanβ=10) Hidden singlet Higgs provides good opportunity for LHC/ILC new physics search. Minimal DM is on the verge of exclusion/observation.

Cencelation of μ term